421012000 has 48 divisors (see below), whose sum is σ = 1034436312. Its totient is φ = 168403200.

The previous prime is 421011989. The next prime is 421012001. The reversal of 421012000 is 210124.

It can be written as a sum of positive squares in 4 ways, for example, as 38887696 + 382124304 = 6236^2 + 19548^2 .

It is a super-2 number, since 2×421012000² = 354502208288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (421012001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48627 + ... + 56626.

Almost surely, 2^421012000 is an apocalyptic number.

421012000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421012000 is an abundant number, since it is smaller than the sum of its proper divisors (613424312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

421012000 is a wasteful number, since it uses less digits than its factorization.

421012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105278 (or 105260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 421012000 is about 20518.5769487067. The cubic root of 421012000 is about 749.4882434790.

Adding to 421012000 its reverse (210124), we get a palindrome (421222124).

The spelling of 421012000 in words is "four hundred twenty-one million, twelve thousand".